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Marrrta [24]
3 years ago
6

PLEASE HELP!

Mathematics
1 answer:
Citrus2011 [14]3 years ago
5 0

Answer:

x - 3y - 7 = 0

Step-by-step explanation:

We can first write this equation in Point Slope form, and then rearrange it to general form.

Note: the given point is (h,k)

Slope is m.

The equation is:

y-k=m(x-h)

Therefore, the equation in point slope form would be:

y+2=1/3(x-1)

Now, we can change that to general form.

y+2=1/3x-1/3

1/3x-1/3-y-2=0

1/3x-y-2 1/3=0

Multiply everything by 3.

x-3y-7=0

Therefore, the corrrect answer is option 3.

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4 years ago
Use the discriminant to determine the number of real solutions to the quadratic equation. n^2 − n − 6 = 0 What is the number of
Andreas93 [3]

Answer: last option

Step-by-step explanation:

The formula to find the Discriminant is:

D=b^2-4ac

Given the quadratic equation n^2-n-6=0, you can identify that:

a=1\\b=-1\\c=-6

Now, you can substitute values into the formula  D=b^2-4ac, then:

D=b^2-4ac\\D=(1)^2-4(1)(-6)\\D=25

As the Discriminant is greater than 0 (D>0), then the quadratic equation  n^2-n-6=0 has two distinct real solutions.

6 0
4 years ago
Read 2 more answers
Which statement accurately explains whether a reflection over the X-axis and a 180° rotation would map figure ACB onto itself?​
Arlecino [84]

Using transformation rules, it is found that the correct option is:

No, A'C'B' is located at A(-1,1), C'(-3,4) and B'(-5,1).

--------------------

  • The transformation rule for a reflection over the x-axis is (x,y) \rightarrow (x,- y)
  • The transformation rule for a rotation of 180º is (x,y) \rightarrow (-x,-y)

  • After the reflection over the x-axis: (x,y) \rightarrow (x, -y)
  • Taking the reflection, and rotating: (x,-y) \rightarrow (-x, -(-y)) = (-x,y).
  • Not the same rule, that is, (x,y) \rightarrow (x,y), so it would not map figure onto itself.
  • A(1,1) would be mapped to A(-1,1), for example, thus, the correct option is:

No, A'C'B' is located at A(-1,1), C'(-3,4) and B'(-5,1).

A similar problem is given at brainly.com/question/10547006

8 0
2 years ago
Read 2 more answers
One side of a rectangle is three times the other. Find the longer side if the perimeter is<br> 29
guajiro [1.7K]

Answer:

Answer: 10.875

Step-by-step explanation:

Let the short side be x.

Then the long side is 3x.

There are two opposite sides of each length, so the perimeter is

3x + 3x + x + x = 8x

The perimeter is 29, so we get the equation

8x = 29

Solve for x by dividing both sides by 8.

x = 29/8

x = 3.625

The longer side is 3x.

3x = 3(3.625) = 10.875

Answer: 10.875

3 0
3 years ago
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Is 3584 a term of the series 7+14+28+56........?
MrRa [10]

Answer:

yes it is the 10th term in the series

Step-by-step explanation:

The nth term of a geometric sequence is

a_{n} = a₁ (r)^{n-1}

where a₁ is the first term and r the common ratio

Here a₁ = 7 and r = \frac{a_{2} }{a_{1} } = \frac{14}{7} = 2 , then

a_{n} = 7 (2)^{n-1}

Equate a_{n} to 3584 and solve for n

7 (2)^{n-1} = 3584 ( divide both sides by 7 )

2^{n-1} = 512 , that is

2^{n-1} = 2^{9}

Since the bases on both sides are equal, both 2 , then equate the exponents

n - 1 = 9 ( add 1 to both sides )

n = 10

3584 is the 10th term in the series

4 0
3 years ago
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